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2231521661264 = 247532287164377
BaseRepresentation
bin100000011110010001000…
…011100101000101010000
321220022221120200211200012
4200132101003211011100
5243030124021130024
64425051421414052
7320136121104110
oct40362103450520
97808846624605
102231521661264
11790423890705
1230059810a328
1313257c2831cc
147a01311b040
153d0a895350e
hex207910e5150

2231521661264 has 80 divisors (see below), whose sum is σ = 5036689202688. Its totient is φ = 937905785856.

The previous prime is 2231521661251. The next prime is 2231521661357. The reversal of 2231521661264 is 4621661251322.

It is a super-3 number, since 3×22315216612643 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13493444 + ... + 13657820.

Almost surely, 22231521661264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231521661264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518344601344).

2231521661264 is an abundant number, since it is smaller than the sum of its proper divisors (2805167541424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231521661264 is a wasteful number, since it uses less digits than its factorization.

2231521661264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166732 (or 166726 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The spelling of 2231521661264 in words is "two trillion, two hundred thirty-one billion, five hundred twenty-one million, six hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2287 2968 4574 5936 9148 16009 18296 32018 36592 64036 121211 128072 164377 242422 256144 328754 484844 657508 848477 969688 1150639 1315016 1696954 1939376 2301278 2630032 3393908 4602556 6787816 8711981 9205112 13575632 17423962 18410224 34847924 60983867 69695848 121967734 139391696 243935468 375930199 487870936 751860398 975741872 1503720796 2631511393 3007441592 5263022786 6014883184 10526045572 19924300547 21052091144 39848601094 42104182288 79697202188 139470103829 159394404376 278940207658 318788808752 557880415316 1115760830632 2231521661264